Search a number
-
+
163304400 = 24352719441
BaseRepresentation
bin10011011101111…
…01001111010000
3102101021201112010
421232331033100
5313301220100
624112102520
74022031060
oct1156751720
9371251463
10163304400
11841aa016
1246834a40
1327aa982c
141798d3a0
15e50b750
hex9bbd3d0

163304400 has 120 divisors (see below), whose sum is σ = 597880384. Its totient is φ = 37324800.

The previous prime is 163304399. The next prime is 163304417. The reversal of 163304400 is 4403361.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1321 + ... + 18120.

Almost surely, 2163304400 is an apocalyptic number.

163304400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298940192).

163304400 is an abundant number, since it is smaller than the sum of its proper divisors (434575984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

163304400 is a wasteful number, since it uses less digits than its factorization.

163304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19469 (or 19458 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 163304400 is about 12779.0609983676. The cubic root of 163304400 is about 546.5953869651.

Adding to 163304400 its reverse (4403361), we get a palindrome (167707761).

The spelling of 163304400 in words is "one hundred sixty-three million, three hundred four thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 700 840 1050 1200 1400 1680 2100 2800 4200 8400 19441 38882 58323 77764 97205 116646 136087 155528 194410 233292 272174 291615 311056 388820 408261 466584 486025 544348 583230 680435 777640 816522 933168 972050 1088696 1166460 1360870 1458075 1555280 1633044 1944100 2041305 2177392 2332920 2721740 2916150 3266088 3402175 3888200 4082610 4665840 5443480 5832300 6532176 6804350 7776400 8165220 10206525 10886960 11664600 13608700 16330440 20413050 23329200 27217400 32660880 40826100 54434800 81652200 163304400